17 citations · 32 across the 9 of their papers we have counts for
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math.AP2014★ 1 cited
The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit
Clement Gallo
We prove existence and uniqueness of a positive solution to a system of two coupled Gross-Pitaevskii equations. We give a full asymptotic expansion of this solution into powers of…
math.AP2014★ 1 cited
On the Thomas-Fermi approximation of the ground state in a PT-symmetric confining potential
Clement Gallo, Dmitry Pelinovsky
For the stationary Gross-Pitaevskii equation with harmonic real and linear imaginary potentials in the space of one dimension, we study the ground state in the limit of large densi…